Existence of solution for some nonlinear g-Caputo fractional-order differential equations based on Wardowski–Mizoguchi–Takahashi contractions

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-08-23 DOI:10.1186/s13660-024-03190-6

Babak Mohammadi, Vahid Parvaneh, Mohammad Mursaleen

引用次数: 0

Abstract

In this study, we prove the existence and uniqueness of a solution to a g-Caputo fractional differential equation with new boundary value conditions utilizing the combined Wardowski–Mizoguchi–Takahashi contractions via reduction of this equation to a fractional integral equation. We provide an example to demonstrate our findings.

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基于 Wardowski-Mizoguchi-Takahashi 收缩的一些非线性 g-Caputo 分数阶微分方程解的存在性

在本研究中，我们通过将 g-Caputo 分数微分方程还原为分数积分方程，利用 Wardowskii-Mizoguchi-Takahashi 组合收缩，证明了具有新边界值条件的 g-Caputo 分数微分方程解的存在性和唯一性。我们将举例说明我们的发现。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

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